Adjoint methods as design tools in thermoacoustics

L Magri - Applied Mechanics Reviews, 2019 - asmedigitalcollection.asme.org
In a thermoacoustic system, such as a flame in a combustor, heat release oscillations couple
with acoustic pressure oscillations. If the heat release is sufficiently in phase with the …

Coherent structures in a swirl injector at Re= 4800 by nonlinear simulations and linear global modes

O Tammisola, MP Juniper - Journal of Fluid Mechanics, 2016 - cambridge.org
The large-scale coherent motions in a realistic swirl fuel-injector geometry are analysed by
direct numerical simulations (DNS), proper orthogonal decomposition (POD), and linear …

Perturbation theory of nonlinear, non-self-adjoint eigenvalue problems: simple eigenvalues

GA Mensah, A Orchini, JP Moeck - Journal of Sound and Vibration, 2020 - Elsevier
The study of the vibrational modes and stability of a given physical system is strongly tied to
the efficient numerical evaluation of its eigenvalues. The operators governing the …

The effect of streaks on the instability of jets

C Wang, L Lesshafft, AVG Cavalieri… - Journal of fluid …, 2021 - cambridge.org
The presence of elongated streaks of high and low streamwise velocity in the shear layer of
circular jets breaks the axisymmetry of their steady-state solution. If the streaks are …

Arbitrary-order sensitivities of the incompressible base flow and its eigenproblem

SJ Knechtel, TL Kaiser, A Orchini… - Journal of Fluid …, 2024 - cambridge.org
First-order sensitivities and adjoint analysis are used widely to control the linear stability of
unstable flows. Second-order sensitivities have recently helped to increase accuracy. In this …

Stability analysis of thermo-acoustic nonlinear eigenproblems in annular combustors. Part I. Sensitivity

L Magri, M Bauerheim, MP Juniper - Journal of Computational Physics, 2016 - Elsevier
We present an adjoint-based method for the calculation of eigenvalue perturbations in
nonlinear, degenerate and non-self-adjoint eigenproblems. This method is applied to a …

Linear stability and weakly nonlinear analysis of the flow past rotating spheres

V Citro, J Tchoufag, D Fabre, F Giannetti… - Journal of Fluid …, 2016 - cambridge.org
We study the flow past a sphere rotating in the transverse direction with respect to the
incoming uniform flow, and particularly consider the stability features of the wake as a …

Breaking axi-symmetry in stenotic flow lowers the critical transition Reynolds number

J Samuelsson, O Tammisola, MP Juniper - Physics of Fluids, 2015 - pubs.aip.org
Flow through a sinuous stenosis with varying degrees of non-axisymmetric shape variations
and at Reynolds number ranging from 250 to 750 is investigated using direct numerical …

Stability and sensitivity analysis of the secondary instability in the sphere wake

V Citro, L Siconolfi, D Fabre, F Giannetti, P Luchini - Aiaa Journal, 2017 - arc.aiaa.org
The three-dimensional flow past a fixed sphere placed within a uniform stream is
investigated. This paper focuses on the second bifurcation, which is responsible for the …

Influence of optimally amplified streamwise streaks on the Kelvin–Helmholtz instability

M Marant, C Cossu - Journal of Fluid Mechanics, 2018 - cambridge.org
The optimal energy amplifications of streamwise-uniform and spanwise-periodic
perturbations of the hyperbolic-tangent mixing layer are computed and found to be very …